{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.spatial import Delaunay\n",
    "import igraph as ig\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 德劳内三角剖分\n",
    "\n",
    "# 2D的单位立方中生成随机图（有顶点没边的一组点), 固定的种子确保再现性\n",
    "np.random.seed(0)\n",
    "x, y = np.random.rand(2, 30)\n",
    "g = ig.Graph(30)\n",
    "g.vs['x'] = x\n",
    "g.vs['y'] = y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 由于设定了x,y作为顶点的属性, 可以包装到一个graph.Layout的对象中\n",
    "layout = g.layout_auto()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 使用scipy中的类计算德劳内三角剖分\n",
    "delaunay = Delaunay(layout.coords)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 根据三角剖分将边加入图中\n",
    "for tri in delaunay.simplices:\n",
    "    g.add_edges([\n",
    "        (tri[0], tri[1]),\n",
    "        (tri[1], tri[2]),\n",
    "        (tri[0], tri[2]),\n",
    "    ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<igraph.Graph at 0x7feb3ff0a440>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 相邻三角形会共用一条边, 将图化间去掉重复的边\n",
    "g.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "ig.plot(\n",
    "    g,\n",
    "    layout=layout,\n",
    "    target=ax,\n",
    "    vertex_size=0.04,\n",
    "    vertex_color=\"lightblue\",\n",
    "    edge_width=0.8\n",
    ")\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.10.6 ('py310')",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.6"
  },
  "orig_nbformat": 4,
  "vscode": {
   "interpreter": {
    "hash": "49ec5068d4d6d3736c39d3918a16f1ca551a23384109b69898c01c2015d1370c"
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
